Baltimore received a conditional seventh-round draft pick from New England in exchange for Burgess.
Burgess, 25, was plagued by injuries since becoming Baltimore's sixth-round pick in 2007. He spent all of 2008 and a good part of his rookie season on injured reserve. He was active for the Ravens first two games of 2009 but did not record a tackle.
Curtis was released by Philadelphia at the conclusion of the pre-season. He played in all 16 regular-season games in 2008 while a member of the Dallas Cowboys and made eight catches for 32 yards.
In 36 games with Dallas, Curtis had 11 receptions for 50 yards and three touchdowns.